Regularity of Lipschitz free boundaries in the Alt-Caffarelli problem

Autors/ores

  • Joan Domingo Pasarin

Paraules clau:

partial differential equations, free boundary problems, Alt– Caffarelli problem, Lipschitz regularity.

Resum

En aquest treball estudiem la regularitat de les fronteres lliures Lipschitz en el problema d’Alt–Caffarelli. Demostrem que les fronteres lliures Lipschitz són C1,α mitjançant la invariància per reescalament del problema i la regularitat inicial Lipschitz de la frontera. A més a més, també provem que les fronteres C1,α són C∞, cosa que, juntament amb el resultat anterior, implica que les fronteres lliures Lipschitz són C∞.

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Descàrregues

Com citar

Domingo Pasarin, J. (2024). Regularity of Lipschitz free boundaries in the Alt-Caffarelli problem. Reports@SCM, 9(1), 93–94. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/154346

Número

Vol. 9 Núm. 1 (2024)

Secció

Extended abstracts

Llicència

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